Wolfgang Lück focuses on Combinatorics, Farrell–Jones conjecture, Discrete mathematics, Pure mathematics and Betti number. His Combinatorics study combines topics from a wide range of disciplines, such as Group and Algebraic K-theory. The Farrell–Jones conjecture study combines topics in areas such as Lie group, Borel conjecture and Discrete group.
His Discrete mathematics research incorporates elements of Manifold and Type. His K-theory, Equivariant map, Singular homology and Universal property study, which is part of a larger body of work in Pure mathematics, is frequently linked to Category of topological spaces, bridging the gap between disciplines. The study incorporates disciplines such as Chain, Exact sequence, Von Neumann algebra and Fundamental group in addition to Betti number.
Wolfgang Lück spends much of his time researching Pure mathematics, Combinatorics, Discrete mathematics, Conjecture and Equivariant map. Wolfgang Lück frequently studies issues relating to Group ring and Pure mathematics. His Combinatorics study combines topics in areas such as Farrell–Jones conjecture, Algebraic K-theory and Group.
His Discrete mathematics research integrates issues from Ring, Discrete group, Classifying space and Locally finite group. His Conjecture study integrates concerns from other disciplines, such as Dimension, Free product, Riemannian manifold, Isomorphism and L-theory. In his research on the topic of Equivariant map, Algebraic number is strongly related with Homology.
His main research concerns Pure mathematics, Combinatorics, Torsion, Conjecture and Cohomology. His Pure mathematics study frequently links to related topics such as Algebraic K-theory. His work in Algebraic K-theory addresses issues such as Cellular homology, which are connected to fields such as Discrete mathematics.
Wolfgang Lück has included themes like Linear independence, Upper and lower bounds and L-theory in his Combinatorics study. Wolfgang Lück interconnects Farrell–Jones conjecture and Lie group in the investigation of issues within Conjecture. His work carried out in the field of Cohomology brings together such families of science as Bundle, Manifold, Diffeomorphism and Block.
His primary areas of investigation include Pure mathematics, Farrell–Jones conjecture, Torsion, Combinatorics and Conjecture. His study in the field of Homotopy and Betti number is also linked to topics like Principal. His biological study spans a wide range of topics, including Functor, Cellular homology, Hochschild homology, Lie group and Cyclic homology.
He focuses mostly in the field of Torsion, narrowing it down to matters related to Thurston norm and, in some cases, Mathematical analysis and Invariant. His work in the fields of Combinatorics, such as Abelian group, overlaps with other areas such as Independent vector. His studies in Conjecture integrate themes in fields like Group ring and Homology.
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L2-Invariants: Theory and Applications to Geometry and K-Theory
Transformation groups and algebraic K-theory
Spaces over a category and assembly maps in isomorphism conjectures in K- and L-theory.
James F. Davis;Wolfgang Lück.
ApproximatingL 2-invariants by their finite-dimensional analogues
Geometric and Functional Analysis (1994)
Survey on Classifying Spaces for Families of Subgroups
arXiv: Geometric Topology (2005)
The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory
Wolfgang Luck;Holger Reich;Fachbereich Mathematik.
arXiv: K-Theory and Homology (2004)
The Borel Conjecture for hyperbolic and CAT(0)-groups
Arthur Bartels;Wolfgang Lück.
Annals of Mathematics (2012)
L2-Topological invariants of 3-manifolds
John Lott;Wolfgang Lück.
Inventiones Mathematicae (1995)
The K -theoretic Farrell–Jones conjecture for hyperbolic groups
Arthur Bartels;Wolfgang Lück;Holger Reich.
Inventiones Mathematicae (2008)
The type of the classifying space for a family of subgroups
Journal of Pure and Applied Algebra (2000)
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